Least Common Multiple of 510/136, 181/668, 789/478

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 510/136, 181/668, 789/478 quickly i.e. 12138765 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 510/136, 181/668, 789/478 is 12138765.

LCM(510/136, 181/668, 789/478) = 12138765

LCM of 510/136, 181/668, 789/478

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 510/136,181/668,789/478

Given numbers are 510/136,181/668,789/478

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 510,181,789

Least Common Multiple of Numerators i.e. LCM of 510,181,789 is 24277530.

GCF of Denominators means GCF of 136,668,478 as per the given fractions.

GCF of 136,668,478 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 510,181,789

LCM of Fractions 510/136,181/668,789/478 is 12138765

3 510, 181, 789
170, 181, 263

∴ So the LCM of the given numbers is 3 x 170 x 181 x 263 = 24277530

Least Common Multiple of 510,181,789 with GCF Formula

Least Common Multiple of 510,181,789 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 510,181,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(510,181,789) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(510,181,789) x common factors =1 x 3 = 3

LCM(510,181,789) = ( 510 × 181 × 789 ) / 3

LCM(510,181,789) = 72832590 / 3

LCM(510,181,789) = 24277530


Lets's calculate GCF of 136,668,478

2 136, 668, 478
68, 334, 239

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24277530/2

Therefore the LCM of Fractions 510/136,181/668,789/478 is 12138765

Greatest Common Factor of 136,668,478 By Matching Biggest Common Factor Method

Greatest Common Factor of 136,668,478 By Matching Biggest Common Factor Method

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Factors of 668

List of positive integer factors of 668 that divides 668 without a remainder.

1,2,4,167,334,668

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Greatest Common Factor

We found the factors 136,668,478 . The biggest common factor number is the GCF number.
So the greatest common factor 136,668,478 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 510/136, 181/668, 789/478

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 510/136, 181/668, 789/478?

Answer: LCM of Numerators as per given numbers 510/136, 181/668, 789/478 is

LCM of Numerators i.e. for 510,181,789 is 24277530

GCF of denominators i.e. for 136,668,478 is 2.

Thus, LCM of Fractions is 12138765.Finally, LCM of Fractions for 510/136, 181/668, 789/478 is 12138765.